REARRANGEMENT INVARIANT SPACES WITH KATO PROPERTY

被引：8

作者：

Hernandez, Francisco L. ^{[1
]}

Semenov, Evgueni M. ^{[2
]}

Tradacete, Pedro ^{[3
]}

机构：

[1] Univ Complutense Madrid, Dept Math Anal, E-28040 Madrid, Spain

[2] Voronezh State Univ, Dept Math, Voronezh 394006, Russia

[3] Univ Carlos III Madrid, Dept Math, E-28911 Madrid, Spain

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2014年 / 50卷 / 02期

关键词：

rearrangement invariant space; strictly singular operator; disjointly homogeneous space;

D O I：

10.7169/facm/2014.50.2.2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study rearrangement invariant spaces on which the classes of strictly singular and compact operators coincide. The relation between this property and the fact that every normalized disjoint sequence in the space has a subsequence equivalent to the unit vector basis of l(2) is analyzed.

引用

页码：215 / 232

页数：18

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